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Combined or multiphase flows of solid/liquid or solid/gas are in most cases present in many commercial fields, and their habit is complicated and hard to foretell in lots of instances. using computational fluid dynamics (CFD) has emerged as a robust software for the certainty of fluid mechanics in multiphase reactors, that are ordinary within the chemical, petroleum, mining, nutrients, beverage and pharmaceutical industries.

0, along the radial and tangential directions, respectively. 0. 0, respectively. 18. The streamline, which runs from point (1,0) to point (2,1), is shown in the Figure, superimposed on the prescribed velocity vector field. The velocity vectors vary in direction and magnitude, which is a good test to the extent of the accuracy of the NIMO numerical scheme in conditions where false diffusion is not uncommon. Equations (20), (25), (26), and (27) are applicable to 2D cylindricalpolar coordinates flows.

10. 5 for Pe = 1 for 59 × 59grids and θ = 45 degrees. 4, arises from the initial guess. The exact analytical solution of the test problem is used as the initial guess for φ, φx , φy , and φxy for all runs reported in the present work. 5. In this case, φ is equally transported by convection and by diffusion. 11. 5)] versus Peclet number for 59 × 59 square grids and θ = 45 degrees. 10 shows that the hybrid scheme produced skewed profiles of φ along the y-axis, while NIMO properly predicts symmetrical profiles.